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12102111200100 = 2235240340370667
BaseRepresentation
bin1011000000011011111000…
…0010100000001101100100
31120211221122221022112010110
42300012332002200031210
53041240110431400400
641423344431253020
72356230411623235
oct260067602401544
946757587275113
1012102111200100
1139465272a8879
12143557867a170
1369a2bb70c04c
142dba611a308c
1515ec0c685e50
hexb01be0a0364

12102111200100 has 36 divisors (see below), whose sum is σ = 35015441739824. Its totient is φ = 3227229653280.

The previous prime is 12102111200099. The next prime is 12102111200129. The reversal of 12102111200100 is 100211120121.

It is a super-2 number, since 2×121021112001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20170185034 + ... + 20170185633.

Almost surely, 212102111200100 is an apocalyptic number.

12102111200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102111200100 is an abundant number, since it is smaller than the sum of its proper divisors (22913330539724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102111200100 is a wasteful number, since it uses less digits than its factorization.

12102111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40340370684 (or 40340370677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102111200100 its reverse (100211120121), we get a palindrome (12202322320221).

The spelling of 12102111200100 in words is "twelve trillion, one hundred two billion, one hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40340370667 80680741334 121021112001 161361482668 201701853335 242042224002 403403706670 484084448004 605105560005 806807413340 1008509266675 1210211120010 2017018533350 2420422240020 3025527800025 4034037066700 6051055600050 12102111200100